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Finding the Fourth Proportional to 113,874.40, 170,862.80 and 51,512.80

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Solution

The fourth proportional to 113,874.40, 170,862.80 and 51,512.80 is: 77,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,874.40 : 170,862.80 = 51,512.80 : x
  2. Step 2: Convert to fraction form
    113,874.40/170,862.80 = 51,512.80/x
  3. Step 3: Cross multiply
    113,874.40x = 170,862.80 × 51,512.80
  4. Step 4: Simplify right side
    113,874.40x = 8,801,621,243.84
  5. Step 5: Solve for x
    x = 8,801,621,243.84/113,874.40
  6. Step 6: Final answer
    x = 77,292.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.